The government of a certain country says that the literacy rate (the proportion of people who are literate) in the country is 73%. A nongovernmental organization believes that the rate is lower than...

The government of a certain country says that the literacy rate (the proportion of people who are literate) in the country is 73%.  A nongovernmental organization believes that the rate is lower than that.  To test their belief at the 1% significance level, the organization studies a random sample of 420 people and finds that 283 of them are literate.

Ho: p=0.73     Ha: P<>

Find the P-value.  Round your answer to 3 decimal places.